
As indicates the reference [1]}, due that, in the limit \(\alpha \rightarrow 0\) , the geometry of the line element (REF ) is associate with the geometry of the seed perfect fluid, and its respective Bianchi identities are satisfied, the seed energy momentum tensor is conserved, i.e. :
\(\nabla _\nu \bar{T}^{\mu \nu } =0\) :
\( \bar{p}_r^{\prime }+ \frac{2}{r}(\bar{p}_r-\bar{p}_t ) =0 ,\) 
